11556797120 has 336 divisors, whose sum is σ = 33273918720. Its totient is φ = 3802613760.

The previous prime is 11556797113. The next prime is 11556797123. The reversal of 11556797120 is 2179765511.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11556797123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16920299 + ... + 16920981.

It is an arithmetic number, because the mean of its divisors is an integer number (99029520).

Almost surely, 2^11556797120 is an apocalyptic number.

11556797120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11556797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16636959360).

11556797120 is an abundant number, since it is smaller than the sum of its proper divisors (21717121600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11556797120 is a wasteful number, since it uses less digits than its factorization.

11556797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 44.

The spelling of 11556797120 in words is "eleven billion, five hundred fifty-six million, seven hundred ninety-seven thousand, one hundred twenty".